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On the Nature of the Instability of Radial Power Equilibria of a Semilinear Parabolic Equation
文献类型:会议
作者:Goldstein, Jerome A.[1]  Han, Junqiang[2]  
机构:[1]Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA.;
[2]Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China.;
年:2014
通讯作者:Goldstein, JA (reprint author), Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA.
会议名称:International Conference Differential Equations, Inverse Problems and Control Theory
会议论文集:NEW PROSPECTS IN DIRECT, INVERSE AND CONTROL PROBL
页码范围:141-159
会议地点:Cortona, ITALY
会议开始日期:2014-01-01
收录情况:CPCI-S(WOS:000418397200008)  
所属部门:理学院
人气指数:50
浏览次数:50
被引频次:1
语言:外文
摘要:The semilinear problem partial derivative u/partial derivative t = (-1)(m+1) Delta(m)u + u(p) (x is an element of R-N,R- t >= 0) has positive equilibria of the form u(x, t) = C vertical bar x vertical bar(-a) for many values of (N, p). Of concern is getting more information on exactly how stable or unstable these solutions are. When m = 1, the results have a qualitatively different nature for the two cases N <= 10 and N >= 11.
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